On the stability of homogeneous vector bundles

Biswas, Indranil (2004) On the stability of homogeneous vector bundles Journal of Mathematical Sciences (University of Tokyo), 11 (2). pp. 133-140. ISSN 1340-5705

[img]
Preview
PDF - Publisher Version
95kB

Official URL: http://journal.ms.u-tokyo.ac.jp/abstract/jms110202...

Abstract

Let G be a connected semisimple linear algebraic group over an algebraically closed field k and P ⊂ G a parabolic sub-group without any simple factor. Let V be an irreducible P-module and EP (V ) = (G× V)/P the associated vector bundle over G/P. We prove that EP (V ) is stable with respect to any polarization on G/P. In [Um] this was proved under the assumption that the characteristic of k is zero and the question was asked whether it remains valid when the characteristic is positive.

Item Type:Article
Source:Copyright of this article belongs to The University of Tokyo.
ID Code:3623
Deposited On:18 Oct 2010 10:18
Last Modified:16 May 2016 14:23

Repository Staff Only: item control page